Finding the Third Proportional to 81,235 and 178,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,235 : 178,162.50 = 178,162.50 : x
2. Step 2: Convert to fraction form
   81,235/178,162.50 = 178,162.50/x
3. Step 3: Cross multiply
   81,235x = 178,162.50 × 178,162.50
4. Step 4: Simplify right side
   81,235x = 31,741,876,406.25
5. Step 5: Solve for x
   x = 31,741,876,406.25/81,235
6. Step 6: Final answer
   x = 390,741.38